6th Grade Math Textbook, Progress

(Marvins-Underground-K-12) #1
Simplify each mathematical expression.


  1. 6 
    1
    2 (


1
4 )

(^2) 2. 9 ^1
3 (
1
2 )
(^3) 3. ^5
6 
1
6 0.5



  1. ^49 ^19 ^23  5. ^18 0.5 16 6. 1 ^23  6 (^16 )^2


Simplify. Check with a calculator.


  1. (1^14 4)(^13 )^2 8. (8 1 ^13 ) 62 9. (1^23  1 ^12 ) 5

  2. (10 1 ^23 )^78  11. (^23 )^2 (1^12  1 ^34 ) 12. 1 ^13 (2^12  1 ^14 )^2


Simplify using the Distributive Property.


  1. ^18 (8 181 ) 14. ^16 (12^35 ) 15.^13 (15^38 )

  2. ^34 (4^13 ) 17. ^89 (18^14 ) 18.^37 (14^19 )


Distributive Property Over Subtraction
Distributive Property Over Subtractiona(bc)(ab)(ac)

^4
5
(10^5
8
)(^4
5
10)(^4
5
^5
8
)

^4
5
 9 ^3
8
 (^4
5
^1
1

(^0) )( 4
5
^5
8
)
115 2 1 1
^4
5
 ^7
8
(^5) 
(
4
5
^1
1
(^0) 
)(
4
5
^5
8
)
1 21 1 2
^1
2
(^5) 
 8  
1
2

7 
1
2
  7 ^1
2

Use compatible numbers to estimate each product.
19.^56 of 43 ^56 of 42 ^16 ^412 7, so ^56 of 42 5  7  35
20.^23 of 25 21. ^34 of 198 22. ^18 of $76 23. ^13 of $3.95
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